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Finding the Fourth Proportional to 138,728.90, 191,446.55 and 78,302.10

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Solution

The fourth proportional to 138,728.90, 191,446.55 and 78,302.10 is: 108,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728.90 : 191,446.55 = 78,302.10 : x
  2. Step 2: Convert to fraction form
    138,728.90/191,446.55 = 78,302.10/x
  3. Step 3: Cross multiply
    138,728.90x = 191,446.55 × 78,302.10
  4. Step 4: Simplify right side
    138,728.90x = 14,990,666,902.76
  5. Step 5: Solve for x
    x = 14,990,666,902.76/138,728.90
  6. Step 6: Final answer
    x = 108,057.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.